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Finding the Fourth Proportional to 10,883.82, 16,310.46 and 4,635.37

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Solution

The fourth proportional to 10,883.82, 16,310.46 and 4,635.37 is: 6,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.82 : 16,310.46 = 4,635.37 : x
  2. Step 2: Convert to fraction form
    10,883.82/16,310.46 = 4,635.37/x
  3. Step 3: Cross multiply
    10,883.82x = 16,310.46 × 4,635.37
  4. Step 4: Simplify right side
    10,883.82x = 75,605,016.97
  5. Step 5: Solve for x
    x = 75,605,016.97/10,883.82
  6. Step 6: Final answer
    x = 6,946.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.